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Decentralised state-feedback prescribed performance control for a class of interconnected nonlinear full-state time-delay systems with strong interconnection

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Listed:
  • Liuliu Zhang
  • Lingchen Zhu
  • Changchun Hua
  • Cheng Qian

Abstract

This paper investigates the problem of the state-feedback control design for a class of interconnected nonlinear full-state time-delay systems with strong interconnection and prescribed performance. Based on the dynamic gain approach and Lyapunov-Krasovskii method, it overcomes the rigorous restriction that the interconnected time-delay functions should satisfy linear growth condition. Compared with the existing results, the main contribution is that the dynamic gain approach is extended to state-feedback control for interconnected time-delay systems, and it is strictly proved that the closed-loop system is globally bounded stable with the proposed decentralised control strategy. The problem of the strong interconnection terms is solved by combining the backstepping approach and graph theory. Furthermore, the expected transient and steady-state performance of the output can be guaranteed by considering prescribed performance control into such strongly interconnected systems. Finally, simulation is performed and the results show the effectiveness of the proposed method.

Suggested Citation

  • Liuliu Zhang & Lingchen Zhu & Changchun Hua & Cheng Qian, 2021. "Decentralised state-feedback prescribed performance control for a class of interconnected nonlinear full-state time-delay systems with strong interconnection," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(12), pages 2580-2596, September.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2580-2596
    DOI: 10.1080/00207721.2021.1892237
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